Virtual Extensions
A process of extending sets which can be used as foundation for an alternative organization for Differential and Integral Calculus is presented.
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arXiv subjects
Sergio Ferreira Cortizo
Publications and source records attributed to Sergio Ferreira Cortizo.
Virtual Calculus - Part I
An alternative organization for Differential and Integral Calculus, based on an extension of real numbers that include infinitesimal and infinite quantities, is presented. Only Elementary Set Theory is used, without reference to methods or results from Mathematical Logic.
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Virtual Calculus - Part II
A simultaneous extension of real numbers set and the class of real functions is discussed.
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On Dirac's Delta Calculus
It is shown that theories already presented as rigorous mathematical formalizations of widespread manipulations of Dirac's delta function are all unsatisfactory, and a new alternative is proposed.
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